Marginalism is a theory of
economics
Economics () is a behavioral science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services.
Economics focuses on the behaviour and interac ...
that attempts to explain the discrepancy in the value of goods and services by reference to their secondary, or marginal, utility. It states that the reason why the price of diamonds is higher than that of water, for example, owes to the greater additional satisfaction of the diamonds over the water. Thus, while the water has greater total utility, the diamond has greater
marginal utility
Marginal utility, in mainstream economics, describes the change in ''utility'' (pleasure or satisfaction resulting from the consumption) of one unit of a good or service. Marginal utility can be positive, negative, or zero. Negative marginal utilit ...
.
Although the central concept of marginalism is that of marginal utility, marginalists, following the lead of
Alfred Marshall
Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist and one of the most influential economists of his time. His book ''Principles of Economics (Marshall), Principles of Economics'' (1890) was the dominant economic textboo ...
, drew upon the idea of
marginal physical productivity in explanation of
cost
Cost is the value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore. In business, the cost may be one of acquisition, in which case the amount of money expended to acquire it i ...
. The
neoclassical tradition that emerged from
British
British may refer to:
Peoples, culture, and language
* British people, nationals or natives of the United Kingdom, British Overseas Territories and Crown Dependencies.
* British national identity, the characteristics of British people and culture ...
marginalism abandoned the concept of
utility
In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings.
* In a normative context, utility refers to a goal or objective that we wish ...
and gave
marginal rates of substitution a more fundamental role in analysis. Marginalism is an integral part of
mainstream economic theory.
Main concepts
Marginality
For issues of marginality, constraints are conceptualized as a ''border'' or ''margin''. The location of the margin for any individual corresponds to his or her ''endowment'', broadly conceived to include opportunities. This endowment is determined by many things including physical laws (which constrain how forms of energy and matter may be transformed), accidents of nature (which determine the presence of natural resources), and the outcomes of past decisions made both by others and by the individual.
A value that holds true given particular constraints is a
''marginal'' value. A change that would be affected as or by a specific loosening or tightening of those constraints is a ''marginal'' change.
Neoclassical economics usually assumes that marginal changes are
infinitesimal
In mathematics, an infinitesimal number is a non-zero quantity that is closer to 0 than any non-zero real number is. The word ''infinitesimal'' comes from a 17th-century Modern Latin coinage ''infinitesimus'', which originally referred to the " ...
s or
limits. Although this assumption makes the analysis less robust, it increases tractability. One is therefore often told that "marginal" is synonymous with "very small", though in more general analysis this may not be operationally true and would not in any case be literally true. Frequently, economic analysis concerns the marginal values associated with a change of one unit of a resource, because decisions are often made in terms of units; marginalism seeks to explain unit prices in terms of such marginal values.
Marginal use
The marginal use of a
good or service is the specific use to which an agent would put a given increase, or the specific use of the good or service that would be abandoned in response to a given decrease.
[von Wieser, Friedrich; ''Über den Ursprung und die Hauptgesetze des wirtschaftlichen Wertes'' ''The Nature and Essence of Theoretical Economics''">/nowiki>''The Nature and Essence of Theoretical Economics''/nowiki> (1884), p. 128.]
Marginalism assumes, for any given agent,
economic rationality and an
ordering of possible states-of-the-world, such that, for any given set of constraints, there is an attainable state which is best in the eyes of that agent.
Descriptive
In the study of language, description or descriptive linguistics is the work of objectively analyzing and describing how language is actually used (or how it was used in the past) by a speech community. François & Ponsonnet (2013).
All aca ...
marginalism asserts that choice amongst the specific means by which various anticipated specific states-of-the-world (outcomes) might be affected is governed only by the distinctions amongst those specific outcomes;
prescriptive marginalism asserts that such choice ''ought'' to be so governed.
On such assumptions, each increase would be put to the specific, feasible, previously unrealized use of greatest priority, and each decrease would result in abandonment of the use of lowest priority amongst the uses to which the good or service had been put.
Marginal utility
The marginal utility of a good or service is the utility of its
marginal use. Under the assumption of economic rationality, it is the utility of its least urgent possible use ''from'' the best feasible combination of actions in which its use is included.
In 20th century
mainstream economics
Mainstream economics is the body of knowledge, theories, and models of economics, as taught by universities worldwide, that are generally accepted by economists as a basis for discussion. Also known as orthodox economics, it can be contrasted to ...
, the term "
utility
In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings.
* In a normative context, utility refers to a goal or objective that we wish ...
" has come to be formally defined as a ''
quantification'' capturing preferences by assigning greater quantities to states, goods, services, or applications that are of higher priority. But marginalism and the concept of marginal utility predate the establishment of this convention within economics. The more general conception of utility is that of ''use'' or ''usefulness'', and this conception is at the heart of marginalism; the term "marginal utility" arose from translation of the German "Grenznutzen",
[von Wieser, Friedrich; ''Der natürliche Werth'' ''Natural Value''">/nowiki>''Natural Value''/nowiki> (1889), Bk I Ch V "Marginal Utility"]
HTML
. which literally means ''border use'', referring directly to the marginal use, and the more general formulations of marginal utility do not treat quantification as an ''essential'' feature.
[Mc Culloch, James Huston; "The Austrian Theory of the Marginal Use and of Ordinal Marginal Utility", '']Zeitschrift für Nationalökonomie
''Journal of Economics'', founded as ''Zeitschrift für Nationalökonomie'', is an academic journal of economics with an emphasis on Mathematical economics, mathematical Microeconomics, microeconomic theory, although it publishes occasional article ...
'' 37 (1973) #3&4 (September). On the other hand, none of the early marginalists insisted that utility were ''not'' quantified, some indeed treated quantification as an essential feature, and those who did not still used an assumption of quantification for expository purposes. In this context, it is not surprising to find many presentations that fail to recognize a more general approach.
Quantified marginal utility
Under the
special case in which usefulness can be quantified, the change in utility of moving from state
to state
is
:
Moreover, if
and
are distinguishable by values of just one variable
which is itself quantified, then it becomes possible to speak of the ratio of the marginal utility of the change in
to the size of that change:
:
(where "
c.p." indicates that the ''only''
independent variable
A variable is considered dependent if it depends on (or is hypothesized to depend on) an independent variable. Dependent variables are studied under the supposition or demand that they depend, by some law or rule (e.g., by a mathematical function ...
to change is
).
Mainstream neoclassical economics will typically assume that
:
is well defined, and use "marginal utility" to refer to a
partial derivative
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). P ...
:
Law of diminishing marginal utility
The law of diminishing marginal utility, also known as a
Gossen's First Law, is that ''
ceteris paribus
' (also spelled ') (Classical ) is a Latin phrase, meaning "other things equal"; some other English translations of the phrase are "all other things being equal", "other things held constant", "all else unchanged", and "all else being equal". ...
'', as additional amounts of a good or service are added to available resources, their marginal utilities are decreasing. This law is sometimes treated as a
tautology, sometimes as something proven by introspection, or sometimes as a mere
instrumental
An instrumental or instrumental song is music without any vocals, although it might include some inarticulate vocals, such as shouted backup vocals in a big band setting. Through Semantic change, semantic widening, a broader sense of the word s ...
assumption, adopted only for its perceived predictive efficacy. It is not quite any of these things, although it may have aspects of each. The law does not hold under all circumstances, so it is neither a tautology nor otherwise proveable; but it has a basis in prior observation.
An individual will typically be able to
partially order the potential uses of a good or service. If there is
scarcity
In economics, scarcity "refers to the basic fact of life that there exists only a finite amount of human and nonhuman resources which the best technical knowledge is capable of using to produce only limited maximum amounts of each economic good. ...
, then a rational agent will satisfy wants of highest possible priority, so that no want is avoidably sacrificed to satisfy a want of ''lower'' priority. In the absence of complementarity across the uses, this will imply that the priority of use of any additional amount will be lower than the priority of the established uses, as in this famous example:
:A pioneer farmer had five sacks of grain, with no way of selling them or buying more. He had five possible uses: as basic feed for himself, food to build strength, food for his chickens for dietary variation, an ingredient for making whisky and feed for his parrots to amuse him. Then the farmer lost one sack of grain. Instead of reducing every activity by a fifth, the farmer simply starved the parrots as they were of less utility than the other four uses; in other words they were on the margin. And it is on the margin, and not with a view to the big picture, that we make economic decisions.
[Böhm-Bawerk, Eugen Ritter von; ''Kapital Und Kapitalizns. Zweite Abteilung: Positive Theorie des Kapitales'' (1889). Translated as ''Capital and Interest. II: Positive Theory of Capital'' with appendices rendered as ''Further Essays on Capital and Interest''.]
However, if there ''is'' a complementarity across uses, then an amount added can bring things past a desired tipping point, or an amount subtracted cause them to fall short. In such cases, the marginal utility of a good or service might actually be ''increasing''.
Without the presumption that utility is quantified, the ''diminishing'' of utility should not be taken to be itself an
arithmetic
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms.
...
subtraction
Subtraction (which is signified by the minus sign, –) is one of the four Arithmetic#Arithmetic operations, arithmetic operations along with addition, multiplication and Division (mathematics), division. Subtraction is an operation that repre ...
. It is the movement from use of higher to lower priority, and may be no more than a purely
ordinal change.
[ Theodore-Angwenyi, Nicholas; "Utility", ''International Encyclopedia of the Social Sciences'' (1968).]
When quantification of utility is assumed, diminishing marginal utility corresponds to a utility function whose ''
slope
In mathematics, the slope or gradient of a Line (mathematics), line is a number that describes the direction (geometry), direction of the line on a plane (geometry), plane. Often denoted by the letter ''m'', slope is calculated as the ratio of t ...
'' is continually or continuously decreasing. In the latter case, if the function is also smooth, then the law may be expressed as
:
Neoclassical economics usually supplements or supplants discussion of marginal utility with
indifference curve
In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...
s, which were originally derived as the
level curves of utility functions,
[Edgeworth, Francis Ysidro]
''Mathematical Psychics''
(1881). or can be produced without presumption of quantification,
but are often simply treated as axiomatic. In the absence of complementarity of goods or services, diminishing marginal utility implies
convexity of indifference curves,
although such convexity would also follow from
quasiconcavity of the utility function.
Marginal rate of substitution
The ''rate of substitution'' is the ''least favorable'' rate at which an agent is willing to exchange units of one good or service for units of another. The ''marginal'' rate of substitution (MRS) is the rate of substitution at the margin; in other words, given some constraint.
When goods and services are
discrete
Discrete may refer to:
*Discrete particle or quantum in physics, for example in quantum theory
* Discrete device, an electronic component with just one circuit element, either passive or active, other than an integrated circuit
* Discrete group, ...
, the least favorable rate at which an agent would trade A for B will usually be different from that at which she would trade B for A:
:
When the goods and services are continuously divisible in the
limiting case
:
and the marginal rate of substitution is the slope of the
indifference curve
In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...
(multiplied by
).
If, for example, Lisa will not trade a goat for anything less than two sheep, then her
:
If she will not trade a sheep for anything less than two goats, then her
:
However, if she would trade one gram of banana for one ounce of ice cream ''and vice versa'', then
:
When indifference curves (which are essentially graphs of instantaneous rates of substitution) and the convexity of those curves are not taken as given, the "law" of diminishing marginal utility is invoked to explain diminishing marginal rates of substitution – a willingness to accept fewer units of good or service
in substitution for
as one's holdings of
grow relative to those of
. If an individual has a stock or flow of a good or service whose marginal utility is less than would be that of some other good or service for which he or she could trade, then it is in his or her interest to effect that trade. As one thing is traded-away and another is acquired, the respective marginal gains or losses from further trades are now changed. On the assumption that the marginal utility of one is diminishing, and the other is not increasing, all else being equal, an individual will demand an increasing ratio of that which is acquired to that which is sacrificed. One important way in which all else might not be equal is when the use of the one good or service complements that of the other. In such cases, exchange ratios might be constant.
If any trader can better his or her own marginal position by offering an exchange more favorable to other traders with desired goods or services, then he or she will do so.
Marginal cost
At the highest level of generality, a marginal cost is a marginal
opportunity cost
In microeconomic theory, the opportunity cost of a choice is the value of the best alternative forgone where, given limited resources, a choice needs to be made between several mutually exclusive alternatives. Assuming the best choice is made, ...
. In most contexts, marginal cost refers to marginal ''
pecuniary'' cost, that is to say marginal cost measured by forgone money.
A thorough-going marginalism sees marginal cost as increasing under the law of diminishing marginal utility, because applying resources to one application reduces their availability to other applications. Neoclassical economics tends to disregard this argument, but to see marginal costs as increasing in consequence of
diminishing returns.
Application to price theory
Marginalism and neoclassical economics typically explain price formation broadly through the interaction of
curves or schedules of supply and demand. In any case buyers are modelled as pursuing typically lower quantities, and sellers offering typically higher quantities, as price is increased, with each being willing to trade until the marginal value of what they would trade-away exceeds that of the thing for which they would trade.
Demand
Demand curves are explained by marginalism in terms of marginal rates of substitution.
At any given price, a prospective buyer has some marginal rate of substitution of money for the good or service in question. Given the "law" of diminishing marginal utility, or otherwise given convex indifference curves, the rates are such that the willingness to forgo money for the good or service decreases as the buyer would have ever more of the good or service and ever less money. Hence, any given buyer has a demand schedule that generally decreases in response to price (at least until quantity demanded reaches zero). The aggregate quantity demanded by all buyers is, at any given price, just the sum of the quantities demanded by individual buyers, so it too decreases as price increases.
Supply
Both neoclassical economics and thorough-going marginalism could be said to explain supply curves in terms of marginal cost; however, there are marked differences in conceptions of that cost.
Marginalists in the tradition of
Marshall and neoclassical economists tend to represent the supply curve for any producer as a curve of marginal pecuniary costs objectively determined by physical processes, with an upward slope determined by
diminishing returns.
A more thorough-going marginalism represents the supply curve as a ''complementary demand curve'' – where the demand is ''for'' money and the purchase is made ''with'' a good or service.
[Schumpeter, Joseph Alois; ''History of Economic Analysis'' (1954) Pt IV Ch 6 §4.] The shape of that curve is then determined by marginal rates of substitution of money for that good or service.
Markets
By confining themselves to limiting cases in which sellers or buyers are both "price takers" – so that demand functions ignore supply functions or ''vice versa'' – Marshallian marginalists and neoclassical economists produced tractable models of
"pure" or "perfect" competition and of various forms of
"imperfect" competition, which models are usually captured by relatively simple graphs. Other marginalists have sought to present what they thought of as more realistic explanations, but this work has been relatively uninfluential on the mainstream of economic thought.
Paradox of water and diamonds
The law of diminishing marginal utility is said to explain the paradox of water and diamonds, most commonly associated with
Adam Smith
Adam Smith (baptised 1723 – 17 July 1790) was a Scottish economist and philosopher who was a pioneer in the field of political economy and key figure during the Scottish Enlightenment. Seen by some as the "father of economics"——— or ...
, although it was recognized by earlier thinkers. Human beings cannot even survive without water, whereas diamonds, in Smith's day, were ornamentation or engraving bits. Yet water had a very small price, and diamonds a very large price. Marginalists explained that it is the ''marginal'' usefulness of any given quantity that matters, rather than the usefulness of a ''class'' or of a ''totality''. For most people, water was sufficiently abundant that the loss or gain of a gallon would withdraw or add only some very minor use if any, whereas diamonds were in much more restricted supply, so that the loss or gain was much greater.
That is not to say that the price of any good or service is simply a function of the marginal utility that it has for any one individual nor for some ostensibly typical individual. Rather, individuals are willing to trade based upon the respective marginal utilities of the goods that they have or desire (with these marginal utilities being distinct for each potential trader), and prices thus develop constrained by these marginal utilities.
History
Proto-marginalist approaches
Perhaps the essence of a notion of diminishing marginal utility can be found in
Aristotle
Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, a ...
's
''Politics'', wherein he writes
There has been marked disagreement about the development and role of marginal considerations in Aristotle's' value theory.
[Kauder, Emil; "Genesis of the Marginal Utility Theory from Aristotle to the End of the Eighteenth Century", ''Economic Journal'' v 63 (1953) pp. 638–50.][Schumpeter, Joseph Alois; ''History of Economic Analysis'' (1954) Part II Chapter 1 §3.]
A great variety of economists concluded that there was ''some'' sort of inter-relationship between utility and rarity that effected economic decisions, and in turn informed the determination of prices.
Eighteenth-century Italian
mercantilists, such as
Antonio Genovesi,
Giammaria Ortes,
Pietro Verri
Count Pietro Verri (12 December 1728 – 28 June 1797) was an Italian economist, historian, philosopher and writer. Among the most important personalities of the 18th-century Italian culture, he is considered among the fathers of the Lombardy, L ...
,
Cesare Beccaria
Cesare Bonesana di Beccaria, Marquis of Gualdrasco and Villareggio (; 15 March 1738 – 28 November 1794) was an Italian criminologist, jurist, philosopher, economist, and politician who is widely considered one of the greatest thinkers of the ...
, and
Giovanni Rinaldo, held that value was explained in terms of the general utility and of scarcity, though they did not typically work-out a theory of how these interacted.
[Pribram, Karl; ''A History of Economic Reasoning'' (1983), Chapter 5 "Refined Mercantilism", "Italian Mercantilists".] In ''
Della Moneta'' (1751), Abbé
Ferdinando Galiani, a pupil of Genovesi, attempted to explain value as a ratio of two ratios, ''utility'' and ''scarcity'', with the latter component ratio being the ratio of quantity to use.
Anne Robert Jacques Turgot, in ''Réflexions sur la formation et la distribution de richesse'' (1769), held that value derived from the general utility of the class to which a good belonged, from comparison of present and future wants, and from anticipated difficulties in procurement.
Like the Italian mercantilists,
Étienne Bonnot de Condillac
Étienne Bonnot de Condillac ( ; ; 30 September 1714 – 2 August or 3 August 1780) was a French philosopher, epistemologist, and Catholic priest, who studied in such areas as psychology and the philosophy of the mind.
Biography
He was born a ...
saw value as determined by utility associated with the class to which the good belongs, and by estimated scarcity. In ''De commerce et le gouvernement'' (1776), Condillac emphasized that value is not based upon cost but that costs were paid because of value.
This last point was famously restated by the 19th-century proto-marginalist
Richard Whately, who wrote as follows in ''Introductory Lectures on Political Economy'' (1832):
Whately's student
Nassau William Senior is noted below as an early marginalist.
Frédéric Bastiat in chapters V and XI of his ''Economic Harmonies'' (1850) also develops a theory of value as ratio between services that increment utility, rather than between total utility.
Marginalists before the Revolution
The first unambiguous published statement of any sort of theory of marginal utility was by
Daniel Bernoulli
Daniel Bernoulli ( ; ; – 27 March 1782) was a Swiss people, Swiss-France, French mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applicati ...
, in "Specimen theoriae novae de mensura sortis". This paper appeared in 1738, but a draft had been written in 1731 or in 1732. In 1728,
Gabriel Cramer
Gabriel Cramer (; 31 July 1704 – 4 January 1752) was a Genevan mathematician.
Biography
Cramer was born on 31 July 1704 in Geneva, Republic of Geneva to Jean-Isaac Cramer, a physician, and Anne Mallet. The progenitor of the Cramer family i ...
produced fundamentally the same theory in a private letter. Each had sought to resolve the
St. Petersburg paradox, and had concluded that the marginal desirability of money decreased as it was accumulated, more specifically such that the desirability of a sum were the
natural logarithm
The natural logarithm of a number is its logarithm to the base of a logarithm, base of the e (mathematical constant), mathematical constant , which is an Irrational number, irrational and Transcendental number, transcendental number approxima ...
(Bernoulli) or
square root
In mathematics, a square root of a number is a number such that y^2 = x; in other words, a number whose ''square'' (the result of multiplying the number by itself, or y \cdot y) is . For example, 4 and −4 are square roots of 16 because 4 ...
(Cramer) thereof. However, the more general implications of this hypothesis were not explicated, and the work fell into obscurity.
In "A Lecture on the Notion of Value as Distinguished Not Only from Utility, but also from Value in Exchange", delivered in 1833 and included in ''Lectures on Population, Value, Poor Laws and Rent'' (1837),
William Forster Lloyd explicitly offered a general marginal utility theory, but did not offer its derivation nor elaborate its implications. The importance of his statement seems to have been lost on everyone (including Lloyd) until the early 20th century, by which time others had independently developed and popularized the same insight.
In ''An Outline of the Science of Political Economy'' (1836),
Nassau William Senior asserted that marginal utilities were the ultimate determinant of demand, yet apparently did not pursue implications, though some interpret his work as indeed doing just that.
In "De la mesure de l'utilité des travaux publics" (1844),
Jules Dupuit applied a conception of marginal utility to the problem of determining bridge tolls.
In 1854,
Hermann Heinrich Gossen published ''Die Entwicklung der Gesetze des menschlichen Verkehrs und der daraus fließenden Regeln für menschliches Handeln'', which presented a marginal utility theory and to a very large extent worked-out its implications for the behavior of a market economy. However, Gossen's work was not well received in the Germany of his time, most copies were destroyed unsold, and he was virtually forgotten until rediscovered after the so-called Marginal Revolution.
Marginal Revolution
Marginalism as a formal theory can be attributed to the work of three economists,
Jevons in England,
Menger in Austria, and
Walras in Switzerland.
William Stanley Jevons
William Stanley Jevons (; 1 September 1835 – 13 August 1882) was an English economist and logician.
Irving Fisher described Jevons's book ''A General Mathematical Theory of Political Economy'' (1862) as the start of the mathematical method i ...
first proposed the theory in an article in 1862 and a book in 1871. Similarly,
Carl Menger presented the theory in 1871. Menger explained why individuals use marginal utility to decide amongst trade-offs, but while his illustrative examples present utility as quantified, his essential assumptions do not.
Léon Walras
Marie-Esprit-Léon Walras (; 16 December 1834 – 5 January 1910) was a French mathematical economics, mathematical economist and Georgist. He formulated the Marginalism, marginal theory of value (independently of William Stanley Jevons and Carl ...
introduced the theory in ''Éléments d'économie politique pure'', the first part of which was published in 1874. The American
John Bates Clark is also associated with the origins of Marginalism, but did little to advance the theory. This new way of thinking was a very drastic shift in thinking from the classical school of economics, founded in part by Adam Smith, David Ricardo and Thomas Malthus. The classical school of economics believed in a concept called the labor theory of value which emphasized the idea that the amount of time it took to produce a good determined the value of that good. This concept's rival, marginal utility on the other hand, focused on the value that the consumer received from the good when determining its value. What the marginalists understood was that the exchange value of goods can be used to describe the use value of goods. Meghnad Desai puts it this way, "Individuals in their daily activity so managed their resources that they balanced the marginal utility - the utility (use value) derived from an extra unit of a commodity they consumed - with the price (exchange value) they paid for it". Thus, when consumption of a good goes up, the utility of that good decreases as it is consumed. Each person would continue to consume until the marginal utility would be equal to the price. Jevons also wanted to formulate a price theory that accounted for this marginal utility and discovered the following: cost production determines supply; supply determines final degree of utility; and final degree of utility determines value. Walras was able to articulate the utility maximization of the consumer far better than Jevons and Menger by assuming that utility was linked to the consumption of each good.
Second generation
Although the Marginal Revolution flowed from the work of Jevons, Menger, and Walras, their work might have failed to enter the mainstream were it not for a second generation of economists. In England, the second generation were exemplified by
Philip Wicksteed, by
William Smart, and by
Alfred Marshall
Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist and one of the most influential economists of his time. His book ''Principles of Economics (Marshall), Principles of Economics'' (1890) was the dominant economic textboo ...
; in Austria by
Eugen Böhm von Bawerk and by
Friedrich von Wieser; in Switzerland by
Vilfredo Pareto
Vilfredo Federico Damaso Pareto (; ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italian polymath, whose areas of interest included sociology, civil engineering, economics, political science, and philosophy. He made severa ...
; and in America by
Herbert Joseph Davenport and by
Frank A. Fetter.
There were significant, distinguishing features amongst the approaches of Jevons, Menger, and Walras, but the second generation did not maintain distinctions along national or linguistic lines. The work of von Wieser was heavily influenced by that of Walras. Wicksteed was heavily influenced by Menger. Fetter referred to himself and Davenport as part of "the American Psychological School", named in imitation of the
Austrian "Psychological School". Clark's work from this period onward similarly shows heavy influence by Menger. William Smart began as a conveyor of Austrian School theory to English-language readers, though he fell increasingly under the influence of Marshall.
[Salerno, Joseph T. 1999; "The Place of Mises's Human Action in the Development of Modern Economic Thought". ''Quarterly Journal of Economic Thought'' v. 2 (1).]
Böhm-Bawerk was perhaps the most able expositor of Menger's conception.
He was further noted for producing a theory of interest and of profit in equilibrium based upon the interaction of diminishing marginal utility with diminishing
marginal productivity of time and with
time preference
In behavioral economics, time preference (or time discounting,. delay discounting, temporal discounting, long-term orientation) is the current relative valuation placed on receiving a good at an earlier date compared with receiving it at a late ...
.
(This theory was adopted in full and then further developed by
Knut Wicksell
Johan Gustaf Knut Wicksell (December 20, 1851 – May 3, 1926) was a Swedish economist of the Stockholm school. He was professor at Uppsala University and Lund University.
He made contributions to theories of population, value, capital and mon ...
and with modifications including formal disregard for time-preference by Wicksell's American rival
Irving Fisher
Irving Fisher (February 27, 1867 – April 29, 1947) was an American economist, statistician, inventor, eugenicist and progressive social campaigner. He was one of the earliest American neoclassical economists, though his later work on debt de ...
.)
Marshall was the second-generation marginalist whose work on marginal utility came most to inform the mainstream of neoclassical economics, especially by way of his ''Principles of Economics'', the first volume of which was published in 1890. Marshall constructed the demand curve with the aid of assumptions that utility was quantified, and that the marginal utility of money was constant, or nearly so. Like Jevons, Marshall did not see an explanation for supply in the theory of marginal utility, so he paired a marginal explanation of demand with a more
classical explanation of supply, wherein costs were taken to be objectively determined. Marshall later actively mischaracterized the criticism that these costs were themselves ultimately determined by marginal utilities.
Marginal Revolution as a response to socialism
The doctrines of marginalism and the Marginal Revolution are often interpreted as a response to the rise of the worker's movement,
Marxian economics
Marxian economics, or the Marxian school of economics, is a heterodox school of political economic thought. Its foundations can be traced back to Karl Marx's critique of political economy. However, unlike critics of political economy, Marxian ...
and the earlier
(Ricardian) socialist theories of the
exploitation of labour
Exploitation is a concept defined as, in its broadest sense, one agent taking unfair advantage of another agent. When applying this to labour (or labor), it denotes an unjust social relationship based on an asymmetry of power or unequal exchange ...
. The first volume of ''
Das Kapital
''Capital: A Critique of Political Economy'' (), also known as ''Capital'' or (), is the most significant work by Karl Marx and the cornerstone of Marxian economics, published in three volumes in 1867, 1885, and 1894. The culmination of his ...
'' was not published until July 1867, when marginalism was already developing, but before the advent of Marxian economics, proto-marginalist ideas such as those of Gossen had largely fallen on deaf ears. It was only in the 1880s, when Marxism had come to the fore as the main economic theory of the workers' movement, that Gossen found (posthumous) recognition.
Aside from the rise of Marxism,
E. Screpanti and
S. Zamagni point to a different 'external' reason for marginalism's success, which is its successful response to the
Long Depression
The Long Depression was a worldwide price and economic recession, beginning in Panic of 1873, 1873 and running either through March 1879, or 1899, depending on the metrics used. It was most severe in Europe and the United States, which had been e ...
and the resurgence of
class conflict
In political science, the term class conflict, class struggle, or class war refers to the economic antagonism and political tension that exist among social classes because of clashing interests, competition for limited resources, and inequali ...
in all developed capitalist economies after the 1848–1870 period of social peace. Marginalism, Screpanti and Zamagni argue, offered a theory of the
free market as perfect, as performing optimal allocation of resources, while it allowed economists to blame any adverse effects of laissez-faire economics on the interference of workers' coalitions in the proper functioning of the market.
Scholars have suggested that the success of the generation who followed the preceptors of the Revolution was their ability to formulate straightforward responses to
Marxist economic theory.
The most famous of these was that of Böhm-Bawerk, "" (1896), but the first was Wicksteed's "The Marxian Theory of Value. ''Das Kapital'': A Criticism" (1884, followed by "The Jevonian Criticism of Marx: A Rejoinder" in 1885). The most famous early Marxist responses were
Rudolf Hilferding's (1904)
and ''The Economic Theory of the Leisure Class'' (1914) by
Nikolai Bukharin
Nikolai Ivanovich Bukharin (; rus, Николай Иванович Бухарин, p=nʲɪkɐˈlaj ɪˈvanəvʲɪdʑ bʊˈxarʲɪn; – 15 March 1938) was a Russian revolutionary, Soviet politician, and Marxist theorist. A prominent Bolshevik ...
.
Eclipse
In his 1881 work ''Mathematical Psychics'',
Francis Ysidro Edgeworth presented the
indifference curve
In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...
, deriving its properties from marginalist theory which assumed utility to be a differentiable function of quantified goods and services. But it came to be seen that indifference curves could be considered as somehow ''given'', without bothering with notions of utility.
In 1915,
Eugen Slutsky derived a theory of
consumer choice
The theory of consumer choice is the branch of microeconomics that relates preferences to consumption expenditures and to consumer demand curves. It analyzes how consumers maximize the desirability of their consumption (as measured by their pr ...
solely from properties of indifference curves. Because of
the World War, the
Bolshevik Revolution
The October Revolution, also known as the Great October Socialist Revolution (in Soviet historiography), October coup, Bolshevik coup, or Bolshevik revolution, was the second of two revolutions in Russia in 1917. It was led by Vladimir L ...
, and his own subsequent loss of interest, Slutsky's work drew almost no notice, but similar work in 1934 by
John Hicks
Sir John Richard Hicks (8 April 1904 – 20 May 1989) was a British economist. He is considered one of the most important and influential economists of the twentieth century. The most familiar of his many contributions in the field of economics ...
and
R. G. D. Allen derived much the same results and found a significant audience. Allen subsequently drew attention to Slutsky's earlier accomplishment.
Although some of the third generation of Austrian School economists had by 1911 rejected the quantification of utility while continuing to think in terms of marginal utility, most economists presumed that utility must be a sort of quantity. Indifference curve analysis seemed to represent a way of dispensing with presumptions of quantification, albeit that a seemingly arbitrary assumption (admitted by Hicks to be a "rabbit out of a hat") about decreasing marginal rates of substitution
[Hicks, Sir John Richard; ''Value and Capital'', Chapter I. "Utility and Preference" §7–8.] would then have to be introduced to have convexity of indifference curves.
For those who accepted that marginal utility analysis had been superseded by indifference curve analysis, the former became at best somewhat analogous to the
Bohr model of the atom—perhaps pedagogically useful, but "old fashioned" and ultimately incorrect.
[Samuelson, Paul Anthony; "Complementarity: An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory", ''Journal of Economic Literature'' vol 12 (1974).]
Revival
When Cramer and Bernoulli introduced the notion of diminishing marginal utility, it had been to address
a paradox of gambling, rather than the
paradox of value. The marginalists of the revolution, however, had been formally concerned with problems in which there was neither
risk
In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environ ...
nor
uncertainty
Uncertainty or incertitude refers to situations involving imperfect or unknown information. It applies to predictions of future events, to physical measurements that are already made, or to the unknown, and is particularly relevant for decision ...
. So too with the indifference curve analysis of Slutsky, Hicks, and Allen.
The
expected utility hypothesis
The expected utility hypothesis is a foundational assumption in mathematical economics concerning decision making under uncertainty. It postulates that rational agents maximize utility, meaning the subjective desirability of their actions. Rationa ...
of Bernoulli ''et alii'' was revived by various 20th century thinkers, including
Frank Ramsey (1926),
John von Neumann
John von Neumann ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, in ...
and
Oskar Morgenstern
Oskar Morgenstern (; January 24, 1902 – July 26, 1977) was a German-born economist. In collaboration with mathematician John von Neumann, he is credited with founding the field of game theory and its application to social sciences and strategic ...
(1944), and
Leonard Savage (1954). Although this hypothesis remains controversial, it brings not merely utility but a quantified conception thereof back into the mainstream of economic thought, and would dispatch the
Ockhamistic argument.
It should perhaps be noted that in expected utility analysis the law of diminishing marginal utility corresponds to what is called
risk aversion
In economics and finance, risk aversion is the tendency of people to prefer outcomes with low uncertainty to those outcomes with high uncertainty, even if the average outcome of the latter is equal to or higher in monetary value than the more c ...
.
Criticism
Marxist criticism of marginalism
Karl Marx
Karl Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, political theorist, economist, journalist, and revolutionary socialist. He is best-known for the 1848 pamphlet '' The Communist Manifesto'' (written with Friedrich Engels) ...
died before marginalism became the interpretation of economic value accepted by mainstream economics. His theory was based on the
labor theory of value
The labor theory of value (LTV) is a theory of value that argues that the exchange value of a good or service is determined by the total amount of " socially necessary labor" required to produce it. The contrasting system is typically known as ...
, which distinguishes between
exchange value and
use value
Use value () or value in use is a concept in classical political economy and Marxist economics. It refers to the tangible features of a commodity (a tradeable object) which can satisfy some human requirement, want or need, or which serves a usef ...
. In his ''Capital'', he rejected the explanation of long-term market values by supply and demand:
:Nothing is easier than to realize the inconsistencies of demand and supply, and the resulting deviation of market-prices from market-values. The real difficulty consists in determining what is meant by the equation of supply and demand.
:
..:If supply equals demand, they cease to act, and for this very reason commodities are sold at their market-values. Whenever two forces operate equally in opposite directions, they balance one another, exert no outside influence, and any phenomena taking place in these circumstances must be explained by causes other than the effect of these two forces. If supply and demand balance one another, they cease to explain anything, do not affect market-values, and therefore leave us so much more in the dark about the reasons why the market-value is expressed in just this sum of money and no other.
In his early response to marginalism,
Nikolai Bukharin
Nikolai Ivanovich Bukharin (; rus, Николай Иванович Бухарин, p=nʲɪkɐˈlaj ɪˈvanəvʲɪdʑ bʊˈxarʲɪn; – 15 March 1938) was a Russian revolutionary, Soviet politician, and Marxist theorist. A prominent Bolshevik ...
argued that "the subjective evaluation from which price is to be derived really starts from this price", concluding:
:Whenever the Böhm-Bawerk theory, it appears, resorts to individual motives as a basis for the derivation of social phenomena, he is actually smuggling in the social content in a more or less disguised form in advance, so that the entire construction becomes a vicious circle, a continuous
logical fallacy
In logic and philosophy, a formal fallacy is a pattern of reasoning rendered invalid by a flaw in its logical structure. Propositional logic, for example, is concerned with the meanings of sentences and the relationships between them. It focuses ...
, a fallacy that can serve only specious ends, and demonstrating in reality nothing more than the complete barrenness of modern bourgeois theory.
Similarly a later Marxist critic,
Ernest Mandel
Ernest Ezra Mandel (; 5 April 1923 – 20 July 1995), also known by various pseudonyms such as Ernest Germain, Pierre Gousset, Henri Vallin, Walter, was a Belgian Marxian economist, Trotskyist activist and theorist, and Holocaust survivor. He f ...
, argued that marginalism was "divorced from reality", ignored the role of production, further arguing:
:It is, moreover, unable to explain how, from the clash of millions of different individual "needs" there emerge not only uniform prices, but prices which remain stable over long periods, even under perfect conditions of free competition. Rather than an explanation of constants, and of the basic evolution of economic life, the "marginal" technique provides at best an explanation of ephemeral, short-term variations.
Maurice Dobb argued that prices derived through marginalism depend on the distribution of income. The ability of consumers to express their preferences is dependent on their spending power. As the theory asserts that prices arise in the act of exchange, Dobb argues that it cannot explain how the distribution of income affects prices and consequently cannot explain prices.
[Dobb, Maurice; ''Theories of value and Distribution'' (1973).]
Dobb also criticized the ''motives'' behind marginal utility theory. Jevons wrote, for example, "so far as is consistent with the inequality of wealth in every community, all commodities are distributed by exchange so as to produce the maximum social benefit." (See
Fundamental theorems of welfare economics.) Dobb contended that this statement indicated that marginalism is intended to insulate market economics from criticism by making prices the natural result of the given income distribution.
Marxist adaptations to marginalism
Some economists strongly influenced by the
Marxian tradition such as
Oskar Lange,
Włodzimierz Brus, and
Michał Kalecki have attempted to integrate it with the insights of classical
political economy
Political or comparative economy is a branch of political science and economics studying economic systems (e.g. Marketplace, markets and national economies) and their governance by political systems (e.g. law, institutions, and government). Wi ...
, marginalism, and
neoclassical economics
Neoclassical economics is an approach to economics in which the production, consumption, and valuation (pricing) of goods and services are observed as driven by the supply and demand model. According to this line of thought, the value of a go ...
. They believed that Marx lacked a sophisticated theory of prices, and neoclassical economics lacked a theory of the social frameworks of economic activity. Some other Marxists have also argued that on one level there is no conflict between marginalism and Marxism as one could employ a marginalist theory of supply and demand within the context of a big picture understanding of the Marxist notion that capitalists exploit
surplus labor.
[Steedman, Ian; ''Socialism & Marginalism in Economics, 1870–1930'' (1995).]
See also
*
Theory of value
References
External links
* Backhouse, Roger E. "Marginal Revolution." eds. Steven N. Durlauf and Lawrence E. Blume (2008). The New Palgrave Dictionary of Economics. Palgrave Macmillan
2nd edition online
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History of economic thought
Microeconomic theories
Theory of value (economics)
Marginal concepts